13065728000 has 312 divisors, whose sum is σ = 35543173536. Its totient is φ = 4792320000.

The previous prime is 13065727993. The next prime is 13065728041. The reversal of 13065728000 is 82756031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86527925 + ... + 86528075.

It is an arithmetic number, because the mean of its divisors is an integer number (113920428).

Almost surely, 2^13065728000 is an apocalyptic number.

13065728000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13065728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771586768).

13065728000 is an abundant number, since it is smaller than the sum of its proper divisors (22477445536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13065728000 is an equidigital number, since it uses as much as digits as its factorization.

13065728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 13065728000 in words is "thirteen billion, sixty-five million, seven hundred twenty-eight thousand".